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Home » Now, compute the square of the area: - Groen Casting

Now, compute the square of the area: - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Solution: We are given $ D(t) = kt^2 + 5t $ and that $ D(3) = 48 $. Substituting $ t = 3 $:

📌 = k(3)^2 + 5(3)

📌 Subtract 15 from both sides:

📌 k = \frac{33}{9} = \frac{11}{3}

📌 Thus, the value of $ k $ is $ \boxed{\frac{11}{3}} $.

📌 Question: An ornithologist tracks a bird’s migration pattern using GPS and finds that the bird flies along a path modeled by the equation $ y = 3x^2 - 12x + 15 $. What is the minimum altitude the bird reaches during its flight?

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